1. Chapter 10 Story Problems
Domain x values
Range y values

2. Chapter 10 Story Problems
Domain x values
Range y values
p. 633 #40 Find domain and range
y = 0.012x2
Domain < x < 32
Range < y <

3. Chapter 10 Story Problems
Falling Objects - Two acorns drop from an oak tree.
One falls 45 feet while the other falls 32 feet.
Write an equation. h = -16t2 + vt + s
h = -16t h = -16t2 + 32
Graph the equations and compare.
The vertex is (0,46) and the other is (0, 32).

4. Chapter 10 Story Problems
Falling Objects - A pinecone falls about 25 feet from the
branch of the tree. How long does it take to land on the
ground?
Write an equation. h = -16t2 + vt + s
h = -16t = -(4t – 5)(4t +5)
t = 1.25 sec.
Graph the equation.
Where does it cross the x-axis?

5. Chapter 10 Story Problems
Suspension Bridges - p. 637 #4 The cables between the
Towers form a parbola with the equation y= x2
0.4x What is the height above the water at the
lowest point?
X = -b/2a
X = -(-0.4)/2( ) =
Y = (1428.6)2 – 0.4(1428.6) = 221 ft.
Graph the equation.
Where does it cross the x-axis?

6. Chapter 10 Story Problems
Architecture - p. 639 #41 The parabolic arches that support
The Convention Center can be modeled by the equation
Y = x x What is the highest point?
Graph the equation.
What are looking for? Vertex? X-intercept? .
Use the 2nd Calc key to solve.
About 66 feet

7. Chapter 10 Story Problems
Architecture - p. 639 #41 The parbolic arches that support
The Convention Center can be modeled by the equation
Y = x x What is the highest point?
Graph the equation.
What are looking for? Vertex? X-intercept? .
Use the 2nd Calc key to solve.
About 66 feet

8. y = x2 + 4x + 4 Graph the equation. Use the 2nd Calc key to solve.
Chapter 10.1/2 Review
Axis of symmetry
Vertex
Min or Max
Opens Up or Down
X = -2
y = x2 + 4x + 4
(-2, 0)
Min Up
Axis of symmetry
Vertex
Min or Max
Opens Up or Down
X = 0
y = -2x2 + 6
(0, 6)
Max
Down .
Graph the equation.
Use the 2nd Calc key to solve.

9. Chapter 10 Minimum or Maximum?
y = 5x2 + 3x + 12
Minimum Graph upward
y = -3x2 - 7x + 15
Maximum Graph downward
y = x2 - 5x + 6
Minimum Graph upward
y = -8x x - 20
Maximum Graph downward .
y = 4x2 - 5x - 25
Minimum Graph upward

10. y = -4x2 - 3 y = x2 + 6x + 9 -3 Axis of symmetry Vertex Min or Max
Chapter 10.1/2 Review
Axis of symmetry
Vertex
Min or Max
Opens Up or Down
X = 0
y = -4x2 - 3
(0, -3)
Max
No Solutions
Down
Axis of symmetry
Vertex
Min or Max
Opens Up or Down
X = -3
y = x2 + 6x + 9
(-3, 0)
Min -3 Up
Axis of symmetry
Vertex
Min or Max
Opens Up or Down
X = 4.5
y = x2 – 9x + 14
( 4.5, -6.25)
Min
7, 2 Up

11. Chapter 10 Story Problems
Sports Event – During an ice hockey game, a blimp flies 45 ft.
above the crowd and drops a numbered ball. The number
on the ball corresponds to a prize. Find the amount of time
in the air.
Graph the equation.
What are looking for? Vertex? X-intercept? .
h = -16t2 + vt + s
About 1.7 sec

12. x2 + 4x + 1 = 0 X2 – 6x + 12 = 0 X2 – 6x + 9 = 0 3 No solutions .
Chapter 10
Solve the equation using the quadratic formula.
x2 + 4x + 1 = 0
X2 – 6x + 12 = 0
X2 – 6x + 9 = 0
No solutions . 3

13. Chapter 10
Solve the equation.
2x2 – 20 = 78
3x2 – 7x + 2 = 0
5x2 – 4x = 2
7, -7
.33, 2 .
-.35, 1.15

14. . Chapter 10 Linear, Quadratic, or Exponential Function? Linear X 1 2-1 1 2 Y 3 12
Quadratic X 1 2 3 Y -5 -2 4
Linear . X 1 2 3 4 Y 8
Exponential

15. y = 3x2 + 4 y = x2 + 2x + 1 -1 Axis of symmetry Vertex Min or Max
Chapter 10.1/2 Review
Axis of symmetry
Vertex
Min or Max
Opens Up or Down
X = 0
y = 3x2 + 4
(0, 4)
Min
No Solutions Up
Axis of symmetry
Vertex
Min or Max
Opens Up or Down
X = -1
y = x2 + 2x + 1
(-1, 0)
Min -1 Up
Axis of symmetry
Vertex
Min or Max
Opens Up or Down
X = -3.5
y = -x2 – 7x + 8
( -3.5,44.75 )
Max
-8, 1
Down

16. 2x2 – 20 = 0 x2 – 2x = 15 5x2 – 7x = -1 .16, 1.24 -3, 5 . Chapter 10
Solve the equation.
2x2 – 20 = 0
x2 – 2x = 15
5x2 – 7x = -1
3.16, -3.16
-3, 5 .
.16, 1.24

17. . Chapter 10 Linear, Quadratic, or Exponential Function? Linear X 1 2-1 1 2 Y 4
Quadratic X 1 2 3 Y 6 9 12
Linear . X 1 2 3 4 Y 8
Exponential